She looks forth and back between Bob and Casper to gain a moment to decide on which name she should use, and then settles on a fake one. She'll give him quite a lot of other real information, so she'll at least try to stay a bit harder to track down if he's not as gullible and transparent as he pretends to be.

"I'm Ebru. It's good to meet you.

There's a burger chain around the corner that they say is pretty good." Look, she's not asking much, at least.